多重边界约束对三壁碳纳米管振动特性的影响

doi:10.3969/j.issn.1007-2861.2013.07.012

上海大学学报(自然科学版) ›› 2014, Vol. 20 ›› Issue (2): 199-206.doi: 10.3969/j.issn.1007-2861.2013.07.012

多重边界约束对三壁碳纳米管振动特性的影响

吴冰洁, 彭香武, 刘亮, 王青占, 郭兴明

上海大学上海市应用数学和力学研究所, 上海 200072

出版日期:2014-04-26 发布日期:2014-04-26
通讯作者: 郭兴明(1964—), 男, 教授, 博士生导师, 博士, 研究方向为材料的多尺度力学、微纳米力学等. E-mail: xmguo@shu.edu.cn
作者简介:郭兴明(1964—), 男, 教授, 博士生导师, 博士, 研究方向为材料的多尺度力学、微纳米力学等. E-mail: xmguo@shu.edu.cn
基金资助:
国家自然科学基金资助项目(10972128); 上海市教委创新项目(13ZZ067)

Effect of Multiple Boundary Constraints on Vibration Characteristics of Triple-Walled Carbon Nanotubes

WU Bing-jie, PENG Xiang-wu, LIU Liang, WANG Qing-zhan, GUO Xing-ming

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China

Online:2014-04-26 Published:2014-04-26

摘要/Abstract

摘要： 主要研究了三壁碳纳米管在多重边界约束条件下的振动特性. 基于Euler 梁模型将三壁碳纳米管模拟成三重相合梁系统, 其中管间通过范德华力 (van der Waals force) 相合, 但内管、中管、外管处于不同的边界约束中, 并研究了FFC (free-free-clamped) 型多重边界约束对三壁碳纳米管振动的影响. 结果表明, FFC 型多重边界约束会导致三壁碳纳米管共振频率的降低, 尤其在低阶振动模态上; 同时, 这种影响会随着碳纳米管长度的增加而减弱.

关键词: 多重边界约束, 三壁碳纳米管, 振动, 多重边界约束, 三壁碳纳米管, 振动

Abstract: Vibration characteristics of triple-walled carbon nanotubes (TWCNTs) with multiple boundary constraints are studied. TWCNTs are modeled as a coupling Euler beam system in which the inner, middle and outer tubes are simulated as 3 single beam, respec- tively. They are coupled through van der Waals interaction. Besides, different boundary conditions are imposed on the three beams. The effect of FFC multiple boundary con- straints on the vibration characteristics of TWCNTs are analyzed. The results show that FFC multiple boundary constraints can reduce resonant frequencies of TWCNTS, espe- cially on the lower modes. Meanwhile, it is also found that this effect will be weakened with the increase of the length of TWCNTs.

Key words: triple-walled carbon nanotubes, natural frequencies, vibration, triple-walled carbon nanotubes, natural frequencies, vibration

中图分类号:

TB 383.1

吴冰洁, 彭香武, 刘亮, 王青占, 郭兴明. 多重边界约束对三壁碳纳米管振动特性的影响[J]. 上海大学学报(自然科学版), 2014, 20(2): 199-206.

WU Bing-jie, PENG Xiang-wu, LIU Liang, WANG Qing-zhan, GUO Xing-ming. Effect of Multiple Boundary Constraints on Vibration Characteristics of Triple-Walled Carbon Nanotubes[J]. Journal of Shanghai University（Natural Science Edition）, 2014, 20(2): 199-206.

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多重边界约束对三壁碳纳米管振动特性的影响

Effect of Multiple Boundary Constraints on Vibration Characteristics of Triple-Walled Carbon Nanotubes

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